27788617820417 has 2 divisors, whose sum is σ = 27788617820418. Its totient is φ = 27788617820416.

The previous prime is 27788617820413. The next prime is 27788617820461. The reversal of 27788617820417 is 71402871688772.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 26584789729936 + 1203828090481 = 5156044^2 + 1097191^2 .

It is a cyclic number.

It is not a de Polignac number, because 27788617820417 - 2² = 27788617820413 is a prime.

It is not a weakly prime, because it can be changed into another prime (27788617820413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13894308910208 + 13894308910209.

It is an arithmetic number, because the mean of its divisors is an integer number (13894308910209).

Almost surely, 2^{27788617820417} is an apocalyptic number.

It is an amenable number.

27788617820417 is a deficient number, since it is larger than the sum of its proper divisors (1).

27788617820417 is an equidigital number, since it uses as much as digits as its factorization.

27788617820417 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 118013952, while the sum is 68.

The spelling of 27788617820417 in words is "twenty-seven trillion, seven hundred eighty-eight billion, six hundred seventeen million, eight hundred twenty thousand, four hundred seventeen".